Big Idea: Observation and description of changes in the world around us are
the first steps in finding and learning about patterns.
INV 3 Essential Question: How can I visually explain situations where one thing changes based on another?
Notes: · The disadvantages of tables and graphs and graphs and reports, when presented together, cancel each other out. · Tables, graphs, reports, (and equations) all tell a story.
Discreet vs. continuous (when to plot pints on a graph)
Discreet – people, atoms, bikes (comes in whole number values)
Continuous – time
(Both are opposites)
Problem 3.2 Finding Customers
A. If you were to make a graph of the data, which variable would you put on the x-axis? Which variable would you put on the y-axis? Explain your choices.
X-axis-I would put price as the variable on the x-axis because the price will make an impact on whether or not you get customers. Y-axis- I would put the number who would be customers at this price on the y-axis because, if the prices were set too high you would get less of a demand from customers rather than the prices being set low. So, the number of people who would be willing to go on the bike tour depends on the price set.
B. Make a coordinate graph of the data on grid paper.
C. Based on the graph, what price do you think the tour operators should charge? Explain your reasoning.
The tour operators should charge $350. To explain my reasoning I made a table of the profit the tour operators would make at each price set.
(Price x Customers = Total Profit, i.e. $10 (price) x 20 (customers) = $200 (total profit) )
$150 x 76 = $11,400
$200 x 74 = $14,800
$250 x 71 = $17,700
$300 x 65 = $19,500
$350 x 59 = $20,650
$400 x 49 = $19,600
$450 x 38 = $17,100
$500 x 26 = $13,000
$550 x 14 = $ 7,700
$600 x 0 = $ 0
Problem 3.2 Follow Up
1. The number of people who said they would take the tour depended on the price. How does the number of potential customers change as the price increases?
As the tour price increases the number of potential customers starts to decrease.
2. How is the change in the number of people who said they would go on the tour shown in the table? On the graph?
In the graph you can see the plotted points curving down, on the table you will have to calculate the differences between the number of potential customers to find out how they are changing. An example is the difference between 76 customers and 74 customers is 2 customers.
Math 7B
September 8, 2009
Big Idea: Observation and description of changes in the world around us are
the first steps in finding and learning about patterns.
INV 3 Essential Question: How can I visually explain situations where one thing changes based on another?
Notes:
· The disadvantages of tables and graphs and graphs and reports, when presented together, cancel each other out.
· Tables, graphs, reports, (and equations) all tell a story.
Discreet vs. continuous (when to plot pints on a graph)
Discreet – people, atoms, bikes (comes in whole number values)
Continuous – time
(Both are opposites)
Problem 3.2 Finding Customers
A. If you were to make a graph of the data, which variable would you put on the x-axis? Which variable would you put on the y-axis? Explain your choices.
X-axis-I would put price as the variable on the x-axis because the price will make an impact on whether or not you get customers.
Y-axis- I would put the number who would be customers at this price on the y-axis because, if the prices were set too high you would get less of a demand from customers rather than the prices being set low. So, the number of people who would be willing to go on the bike tour depends on the price set.
B. Make a coordinate graph of the data on grid paper.
C. Based on the graph, what price do you think the tour operators should charge? Explain your reasoning.
The tour operators should charge $350. To explain my reasoning I made a table of the profit the tour operators would make at each price set.
(Price x Customers = Total Profit, i.e. $10 (price) x 20 (customers) = $200 (total profit) )
$150 x 76 = $11,400
$200 x 74 = $14,800
$250 x 71 = $17,700
$300 x 65 = $19,500
$350 x 59 = $20,650
$400 x 49 = $19,600
$450 x 38 = $17,100
$500 x 26 = $13,000
$550 x 14 = $ 7,700
$600 x 0 = $ 0
Problem 3.2 Follow Up
1. The number of people who said they would take the tour depended on the price. How does the number of potential customers change as the price increases?
As the tour price increases the number of potential customers starts to decrease.
2. How is the change in the number of people who said they would go on the tour shown in the table? On the graph?
In the graph you can see the plotted points curving down, on the table you will have to calculate the differences between the number of potential customers to find out how they are changing. An example is the difference between 76 customers and 74 customers is 2 customers.